Добавление арифметических операций для дуальных чисел, векторов и кватернионов

This commit is contained in:
Andrey Pokidov 2026-02-05 01:58:09 +07:00
parent b0b064de5a
commit 57280ac3f3
9 changed files with 179 additions and 56 deletions

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@ -1,34 +1,43 @@
#include "dual-number.h"
inline void bgc_fp32_dual_number_reset(BGC_FP32_DualNumber* number);
inline void bgc_fp64_dual_number_reset(BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_dual_number_reset(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_reset(BGC_FP64_DualNumber* number);
inline void bgc_fp32_dual_number_make(BGC_FP32_DualNumber* number, const float real, const float dual);
inline void bgc_fp64_dual_number_make(BGC_FP64_DualNumber* number, const double real, const double dual);
extern inline void bgc_fp32_dual_number_make(BGC_FP32_DualNumber* number, const float real, const float dual);
extern inline void bgc_fp64_dual_number_make(BGC_FP64_DualNumber* number, const double real, const double dual);
inline void bgc_fp32_dual_number_copy(BGC_FP32_DualNumber* destination, const BGC_FP32_DualNumber* source);
inline void bgc_fp64_dual_number_copy(BGC_FP64_DualNumber* destination, const BGC_FP64_DualNumber* source);
extern inline void bgc_fp32_dual_number_copy(BGC_FP32_DualNumber* destination, const BGC_FP32_DualNumber* source);
extern inline void bgc_fp64_dual_number_copy(BGC_FP64_DualNumber* destination, const BGC_FP64_DualNumber* source);
inline void bgc_fp32_dual_number_swap(BGC_FP32_DualNumber* first, BGC_FP32_DualNumber* second);
inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_swap(BGC_FP32_DualNumber* first, BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_swap(BGC_FP64_DualNumber* first, BGC_FP64_DualNumber* second);
inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_add(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_add(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
inline void bgc_fp32_dual_number_add_scaled(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);
extern inline void bgc_fp32_dual_number_add_scaled(BGC_FP32_DualNumber* sum, const BGC_FP32_DualNumber* base_number, const BGC_FP32_DualNumber* scalable_number, const float scale);
extern inline void bgc_fp64_dual_number_add_scaled(BGC_FP64_DualNumber* sum, const BGC_FP64_DualNumber* base_number, const BGC_FP64_DualNumber* scalable_number, const double scale);
inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend);
inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend);
extern inline void bgc_fp32_dual_number_subtract(BGC_FP32_DualNumber* difference, const BGC_FP32_DualNumber* minuend, const BGC_FP32_DualNumber* subtrahend);
extern inline void bgc_fp64_dual_number_subtract(BGC_FP64_DualNumber* difference, const BGC_FP64_DualNumber* minuend, const BGC_FP64_DualNumber* subtrahend);
inline void bgc_fp32_dual_number_multiply(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier);
inline void bgc_fp64_dual_number_multiply(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier);
extern inline void bgc_fp32_dual_number_multiply(BGC_FP32_DualNumber* product, const BGC_FP32_DualNumber* multiplicand, const float multiplier);
extern inline void bgc_fp64_dual_number_multiply(BGC_FP64_DualNumber* product, const BGC_FP64_DualNumber* multiplicand, const double multiplier);
inline void bgc_fp32_dual_number_divide(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor);
inline void bgc_fp64_dual_number_divide(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor);
extern inline void bgc_fp32_dual_number_divide(BGC_FP32_DualNumber* quotient, const BGC_FP32_DualNumber* dividend, const float divisor);
extern inline void bgc_fp64_dual_number_divide(BGC_FP64_DualNumber* quotient, const BGC_FP64_DualNumber* dividend, const double divisor);
inline void bgc_fp32_dual_number_get_mean2(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
inline void bgc_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
extern inline void bgc_fp32_dual_number_get_mean2(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second);
extern inline void bgc_fp64_dual_number_get_mean2(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second);
inline void bgc_fp32_dual_number_get_mean3(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const BGC_FP32_DualNumber* third);
inline void bgc_fp64_dual_number_get_mean3(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const BGC_FP64_DualNumber* third);
extern inline void bgc_fp32_dual_number_get_mean3(BGC_FP32_DualNumber* mean, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const BGC_FP32_DualNumber* third);
extern inline void bgc_fp64_dual_number_get_mean3(BGC_FP64_DualNumber* mean, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const BGC_FP64_DualNumber* third);
extern inline void bgc_fp32_dual_number_interpolate(BGC_FP32_DualNumber* interpolation, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const float phase);
extern inline void bgc_fp64_dual_number_interpolate(BGC_FP64_DualNumber* interpolation, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const double phase);
extern inline void bgc_fp32_dual_number_revert(BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_dual_number_revert(BGC_FP64_DualNumber* number);
extern inline void bgc_fp32_number_get_reverse(BGC_FP32_DualNumber* reverse, const BGC_FP32_DualNumber* number);
extern inline void bgc_fp64_number_get_reverse(BGC_FP64_DualNumber* reverse, const BGC_FP64_DualNumber* number);

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@ -165,4 +165,50 @@ inline void bgc_fp64_dual_number_get_mean3(BGC_FP64_DualNumber* mean, const BGC_
mean->dual = (first->dual + second->dual + third->dual) * BGC_FP64_ONE_THIRD;
}
// ============ Linear Interpolation ============ //
inline void bgc_fp32_dual_number_interpolate(BGC_FP32_DualNumber* interpolation, const BGC_FP32_DualNumber* first, const BGC_FP32_DualNumber* second, const float phase)
{
const float counter_phase = 1.0f - phase;
interpolation->real = first->real *counter_phase + second->real * phase;
interpolation->dual = first->dual *counter_phase + second->dual * phase;
}
inline void bgc_fp64_dual_number_interpolate(BGC_FP64_DualNumber* interpolation, const BGC_FP64_DualNumber* first, const BGC_FP64_DualNumber* second, const double phase)
{
const double counter_phase = 1.0 - phase;
interpolation->real = first->real * counter_phase + second->real * phase;
interpolation->dual = first->dual * counter_phase + second->dual * phase;
}
// =================== Revert =================== //
inline void bgc_fp32_dual_number_revert(BGC_FP32_DualNumber* number)
{
number->real = -number->real;
number->dual = -number->dual;
}
inline void bgc_fp64_dual_number_revert(BGC_FP64_DualNumber* number)
{
number->real = -number->real;
number->dual = -number->dual;
}
// ================ Get Reverse ================= //
inline void bgc_fp32_number_get_reverse(BGC_FP32_DualNumber* reverse, const BGC_FP32_DualNumber* number)
{
reverse->real = -number->real;
reverse->dual = -number->dual;
}
inline void bgc_fp64_number_get_reverse(BGC_FP64_DualNumber* reverse, const BGC_FP64_DualNumber* number)
{
reverse->real = -number->real;
reverse->dual = -number->dual;
}
#endif

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@ -33,5 +33,11 @@ extern inline void bgc_fp64_dual_quaternion_get_mean2(BGC_FP64_DualQuaternion* m